Greatest Common Factor of 2025 and 2031
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2025, 2031 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2025 and 2031 is 3.
GCF(2025,2031) = 3
GCF of 2025 and 2031
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2025 and 2031 by prime factorization method
- Greatest Common Factor of 2025 and 2031 by matching factors method
GCF of 2025 and 2031 is 3
Prime Factorization of 2025
| 3 | 2025 |
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 2025 are 3,5. Prime factorization of 2025 in exponential form is:
2025 = 34×52
Prime Factorization of 2031
| 3 | 2031 |
| 677 | 677 |
| 1 |
Prime factors of 2031 are 3,677. Prime factorization of 2031 in exponential form is:
2031 = 31×6771
∴ So by taking common prime factors GCF of 2025 and 2031 is 3
Greatest Common Factor of 2025 and 2031 by matching factors method
Factors of 2025
List of positive integer factors of 2025 that divides 2025 without a remainder.
1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025
Factors of 2031
List of positive integer factors of 2031 that divides 2031 without a remainder.
1,3,677,2031
Greatest Common Factor
We found the factors and prime factorization of 2025 and 2031. The biggest common factor number is the GCF number.
So the greatest common factor 2025 and 2031 is 3.
Also check out the Least Common Multiple of 2025 and 2031
Properties of GCF 2025 and 2031
(i) The GCF of 2025 and 2031 is associative
GCF of 2025 and 2031 = GCF of 2031 and 2025
Related Greatest Common Factor of 2025
Related Greatest Common Factor of 2031
Frequently Asked Questions on GCF of 2025 and 2031
1. What is the GCF of 2025 and 2031?
Answer: GCF of 2025 and 2031 is 3.
2. What are the Factors of 2025?
Answer: Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025. There are 15 integers that are factors of 2025. The greatest factor of 2025 is 2025.
3. What are the Factors of 2031?
Answer: Factors of 2031 are 1, 3, 677, 2031. There are 4 integers that are factors of 2031. The greatest factor of 2031 is 2031.
4. How to Find the GCF of 2025 and 2031?
Answer:
Greatest Common Factor of 2025 and 2031 = 3
Step 1: Find the prime factorization of 2025
2025 = 3 x 3 x 3 x 3 x 5 x 5
Step 2: Find the prime factorization of 2031
2031 = 3 x 677
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2025 and 2031 is 3
